Raghukumar Kaustubha, Cornuelle Bruce D, Hodgkiss William S, Kuperman William A
Marine Physical Laboratory, Scripps Institution of Oceanography, University of California, San Diego, 9500 Gilman Drive, La Jolla, California, 92093-0238, USA.
J Acoust Soc Am. 2008 Jul;124(1):98-112. doi: 10.1121/1.2924130.
Sensitivity kernels for receptions of broadband sound transmissions are used to study the effect of the transmitted signal on the sensitivity of the reception to environmental perturbations. A first-order Born approximation is used to obtain the pressure sensitivity of the received signal to small changes in medium sound speed. The pressure perturbation to the received signal caused by medium sound speed changes is expressed as a linear combination of single-frequency sensitivity kernels weighted by the signal in the frequency domain. This formulation can be used to predict the response of a source transmission to sound speed perturbations. The stability of time-reversal is studied and compared to that of a one-way transmission using sensitivity kernels. In the absence of multipath, a reduction in pressure sensitivity using time reversal is only obtained with multiple sources. This can be attributed both to the presence of independent paths and to cancellations that occur due to the overlap of sensitivity kernels for different source-receiver paths. The sensitivity kernel is then optimized to give a new source transmission scheme that takes into account knowledge of the medium statistics and is related to the regularized inverse filter.
用于接收宽带声音传输的灵敏度核被用于研究传输信号对接收环境扰动灵敏度的影响。使用一阶玻恩近似来获得接收信号对介质声速微小变化的压力灵敏度。由介质声速变化引起的接收信号的压力扰动表示为频域中由信号加权的单频灵敏度核的线性组合。该公式可用于预测源传输对声速扰动的响应。研究了时间反转的稳定性，并使用灵敏度核将其与单向传输的稳定性进行了比较。在不存在多径的情况下，只有使用多个源才能通过时间反转降低压力灵敏度。这既可以归因于独立路径的存在，也可以归因于不同源 - 接收器路径的灵敏度核重叠导致的抵消。然后对灵敏度核进行优化，以给出一种新的源传输方案，该方案考虑了介质统计知识并且与正则化逆滤波器相关。
